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Finding the Fourth Proportional to 897.95, 1,344.49 and 464.19

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Solution

The fourth proportional to 897.95, 1,344.49 and 464.19 is: 695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.95 : 1,344.49 = 464.19 : x
  2. Step 2: Convert to fraction form
    897.95/1,344.49 = 464.19/x
  3. Step 3: Cross multiply
    897.95x = 1,344.49 × 464.19
  4. Step 4: Simplify right side
    897.95x = 624,098.81
  5. Step 5: Solve for x
    x = 624,098.81/897.95
  6. Step 6: Final answer
    x = 695.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.